On solutions of a quasilinear differential second-order system represented by Fourier series with slowly varying parameters in some critical cases

DOI10.1007/s10958-011-0342-6zbMath1286.34017OpenAlexW2036334371MaRDI QIDQ393295

Sergii A. Shchogolev

Publication date: 17 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0342-6

zbMATH Keywords

particular solutionsquasilinear systems

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Projection method of solving a problem of forced unsteady oscillations in nonlinear systems with slowly varying parameters
• On solutions of a second-order quasilinear differential system representable by Fourier series with slowly varying parameters
• A resonance case of the existence of solutions of a quasilinear second-order differential system, which are represented by Fourier series with slowly varying parameters